Necessary conditions for super minimizers in constrained multiobjective optimization

This paper concerns the study of the so–called super minimizers related to the concept of super efficiency in constrained problems of multiobjective optimization, where cost mappings are generally set–valued. We derive necessary conditions for super minimizers on the base of advanced tools of variational analysis and generalized differentiation that are new in both finite–dimensional and infinite–dimensional settings for problems with single–valued and set–valued objectives.